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Numbers n such that n | 11^n + 10^n + 1.
0

%I #3 Mar 30 2012 17:30:27

%S 1,2,6,11,74,121,403,559,1331,2738,3642,4566,12463,14641,18073,29161,

%T 42229,48763,56507,101306,161051,161293,406439,527154,775973,823163

%N Numbers n such that n | 11^n + 10^n + 1.

%t Select[ Range[ 10^6 ], Mod[ PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + 1, # ] == 0 & ]

%K nonn

%O 1,2

%A _Robert G. Wilson v_, Sep 22 2000